An element-set labelling a Cartesian product by measurable binary relations which leads to postulates of the theory of experience and chance as a theory of co∼events. (original) (raw)

2016, Proc. of the XV Intern. FAMEMS-2016 Conf. on Financial and Actuarial Math and Eventology of Multivariate Statistics, Krasnoyarsk, SFU (Oleg Vorobyev ed.), 9-24

We introduce the set-theoretic language for the element-set labelling a Cartesian product by measurable binary relations intended for the labelling, or for the naming of parts and details of the construction that we are going to propose in the theory of experience and chance, or the theory of co~events that serve as mathematical models of events as dual pairs. Before you start working in a set-theoretic space whose objects of interest are simultaneously the elements of space, the sets of elements, and the sets of subsets of elements, it is necessary to stock up some system of «coordinates» suitable for a labelling the space itself, and its parts. Keywords: eventology, theory of experience and chance, theory of co~events, measurable binary relation, event, co~event, experience, chance. If you are interested in my work, and you have the opportunity to provide financial support for the publication of my book "Theory of experience and chance as a theory of being," I ask you to use my PayPal account: paypal.me/EventologyTheory